Y and H transforms

In mathematics, the transforms and transforms are complementary pairs of integral transforms involving, respectively, the Neumann function (Bessel function of the second kind) of order and the Struve function of the same order. ^[1]

6 relations: Axial symmetry, Bateman Manuscript Project, Bessel function, Hankel transform, Integral transform, Struve function.

Axial symmetry

Axial symmetry is symmetry around an axis; an object is axially symmetric if its appearance is unchanged if rotated around an axis.

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Bateman Manuscript Project

The Bateman Manuscript Project was a major effort at collation and encyclopedic compilation of the mathematical theory of special functions.

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Bessel function

Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are the canonical solutions of Bessel's differential equation for an arbitrary complex number, the order of the Bessel function.

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Hankel transform

In mathematics, the Hankel transform expresses any given function f(r) as the weighted sum of an infinite number of Bessel functions of the first kind.

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Integral transform

In mathematics, an integral transform maps an equation from its original domain into another domain where it might be manipulated and solved much more easily than in the original domain.

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Struve function

In mathematics, Struve functions, are solutions of the non-homogeneous Bessel's differential equation: introduced by.

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References

[1] https://en.wikipedia.org/wiki/Y_and_H_transforms

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